Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.5 Planes in 3-Space - Exercises - Page 684: 9


$$ ax+by+cz=0.$$

Work Step by Step

The equation of any plane is given by $$ a(x-x_{0})+b(y-y_{0})+c(z-z_{0})=0.$$ When the plane passes through the origin, then we put $(x_0,y_0,z_0)=(0,0,0)$ Hence the equation of any plane that passes through the origin takes the form $$ ax+by+cz=0.$$
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